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Finding the Fourth Proportional to 402,998.34, 556,137.70 and 221,706.38

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Solution

The fourth proportional to 402,998.34, 556,137.70 and 221,706.38 is: 305,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,998.34 : 556,137.70 = 221,706.38 : x
  2. Step 2: Convert to fraction form
    402,998.34/556,137.70 = 221,706.38/x
  3. Step 3: Cross multiply
    402,998.34x = 556,137.70 × 221,706.38
  4. Step 4: Simplify right side
    402,998.34x = 123,299,275,203.43
  5. Step 5: Solve for x
    x = 123,299,275,203.43/402,998.34
  6. Step 6: Final answer
    x = 305,954.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.